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3 years ago

A function is defined by f(x)=x/4, what is f(-8)

Mathematics

2 answers:

barxatty [35]3 years ago

4 0

F(x) = x/4
so
f(-8) = -8/4 = -2
answer
f(-8) = -2

astra-53 [7]3 years ago

3 0

Answer: -2

Step-by-step explanation:

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In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height

tatyana61 [14]

Answer:

Test statistic t=6.505

P-value=0

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

$H_0: \mu=0\\\\H_a:\mu> 0$

The significance level is assumed to be 0.05.

The sample has a size n=39.

The sample mean is M=7.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7.2}{\sqrt{39}}=1.153$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505$

The degrees of freedom for this sample size are:

$df=n-1=39-1=38$

This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>6.505)=0$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that parents tend to underestimate their youngest child's size.

5 0

3 years ago

The graph of y = |x-6| is in the standard (x,y)

Airida [17]

9514 1404 393

Answer:

F. Translation to the right 6 coordinate units

Step-by-step explanation:

Replacing the function argument x with x-6 causes the graph to be translated right 6 units.

8 0

3 years ago

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!

riadik2000 [5.3K]

Answer:

a^2b^7

Step-by-step explanation:

dividing exponents is basically subtracting the top exponent by the bottom. So, 3 - 1 = 2, thus giving you a^2, and 9 - 2 = 7, giving you b^7

4 0

3 years ago

Read 2 more answers

Find the surface area of each figure.

timurjin [86]

Answer:

For a cylinder of radius R and height H, the surface area is given by:

A = 4*pi*R^2 + H*(2*pi*R)

Where pi = 3.14

We can just use that formula for each one of the given cylinders.

1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:

R = 10yd/2 = 5yd

And the height is 3yd, then H = 3yd

Replacing these in the area equation, we get:

A = 4*3.14*(5 yd)^2 + 3yd*(2*3.14*5yd) = 408.2 yd^2

2) Here we can see that the diameter is 24 cm, then the radius is:

R = 24cm/2 = 12cm

And the height is H = 10cm

Then the area is:

A = 4*3.14*(12 cm)^2 + 10cm*(2*3.14*12cm) = 2,562.24 cm^2

3) In this case we have a radius equal to 12 cm, and a height equal to 7 cm, then the area is:

A = 4*3.14*(12 cm)^2 + 7cm*(2*3.14*12cm) = 2,336.16cm^2

4) Here is hard to see the measures, I think that here we have:

diameter = 8m

Then R = 8m/2 = 4m

And the height is also 8m, H = 8m

Then the area is:

A = 4*3.14*(4 m)^2 + 8 m*(2*3.14*4m) =401.92 m^2

6 0

2 years ago

A grab bag contains 12 packages worth $.70 each, 15 packages $.40 cents each, and 25 packages worth $.30 each. what is the expec

Salsk061 [2.6K]

The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

For this problem, considering the cost of $0.5, the distribution is given as follows:

P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.

P(X = -0.1) = 15/(12 + 15 + 23) = 15/50 = 0.3.

P(X = -0.2) = 23/(12 + 15 + 23) = 23/50 = 0.46.

Hence the expected value is given by:

E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.

More can be learned about the expected value of a discrete distribution at brainly.com/question/13008984

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8 0

2 years ago